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Simplifying 2(y + 4) + -8y = -32 Reorder the terms: 2(4 + y) + -8y = -32 (4 * 2 + y * 2) + -8y = -32 (8 + 2y) + -8y = -32 Combine like terms: 2y + -8y = -6y 8 + -6y = -32 Solving 8 + -6y = -32 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -6y = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -6y = -32 + -8 -6y = -32 + -8 Combine like terms: -32 + -8 = -40 -6y = -40 Divide each side by '-6'. y = 6.666666667 Simplifying y = 6.666666667
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